SOLUTION: This is not home work it is real life and I don't know the answer or how to solve it. I also don't know algebra and hope you can help me. One IQ test says genius is 130 and and per

Algebra ->  Equations -> SOLUTION: This is not home work it is real life and I don't know the answer or how to solve it. I also don't know algebra and hope you can help me. One IQ test says genius is 130 and and per      Log On


   

Question 995661: This is not home work it is real life and I don't know the answer or how to solve it. I also don't know algebra and hope you can help me. One IQ test says genius is 130 and and person "A" has an IQ if 138 on this scale. A different IQ test says genius is 160 and person "B" has an IQ of 170 on this scale. How do we compare their IQs so we know what they would be if they were calculated on the same scale, so they could compare their IQs? If you're willing to solve this I'd be very grateful. My email address is kskgraham@gmail.com
Answer by josgarithmetic(39616) About Me  (Show Source):
You can put this solution on YOUR website!
Each of your starting scales is related to the ideal scale as a line.

Points (x,y) using x for IQ value on one scale, and y for IQ value on the ideal scale. The ideal scale genius value would be average of 130 and 160, being 145 for genius on the ideal scale.

Your "one scale" and your ideal scale will have these points:
(0,0) and (130,145).
The linear to relate these two points has slope %28145-0%29%2F%28130-0%29=145%2F130=29%2F26.
-
So far this gives you an equation y=%2829%2F26%29x%2Bb, and you want to use either point to find b. I suggest trying .... does not matter. Both ideal and "one scale" have vertical axis intercept of 0.
-
The formula for relating y, ideal IQ to the "one scale" IQ is simply highlight%28y=%2829%2F26%29x%29.

Person A having IQ of 138 on the "one scale" will have an "ideal" IQ of y=%2829%2F26%29%28138%29=154.

Maybe you can find the relationship for the "different scale".

Simple familiarity with equations and points for lines is necessary for the best most comfortable solving ability with this problem. This is much like the very typical F & C temperature scale conversion question.